Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840dk |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
249389383680 = 218 · 38 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1921,21119] |
[a1,a2,a3,a4,a6] |
Generators |
[5:108:1] |
Generators of the group modulo torsion |
j |
2992209121/951345 |
j-invariant |
L |
7.3194607952301 |
L(r)(E,1)/r! |
Ω |
0.91128022086451 |
Real period |
R |
1.0040079642415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840i1 6960be1 83520gl1 |
Quadratic twists by: -4 8 -3 |